Researchers can use the same formula to determine the minimum sample size needed to produce a given margin of error simply by solving for 12. The rearranged formula looks like this: n = p(1 -p) E Notice that this formula requires the researcher to know the value of p, which is unknown. However, researchers often have preliminary data or prior research that can be used to estimate p. If there is no way to estimate p, researchers will find the largest possible n by setting p to 0.5. (Try it! The largest value you can get for p(1 - p) is 0.25 when you set p to 0.5.) Go to https://domathpathways.shinyapps.io/Inference_prop/ to open the DCMP Inference for a Proportion tool. At the top of the page, click "Find Sample Size." Select "Use Conservative Approach ( = 0.5 )." What sample sizes would be needed for the following confidence level and margin of error combinations? Hint Use the sliders to set the given values. Confidence Level Margin of Error Minimum Sample Size 959% +2.596 9596 =49% 959% =6% 9996 =6%